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Finding the Fourth Proportional to 101,562.90, 152,368.94 and 30,485.40

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Solution

The fourth proportional to 101,562.90, 152,368.94 and 30,485.40 is: 45,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,562.90 : 152,368.94 = 30,485.40 : x
  2. Step 2: Convert to fraction form
    101,562.90/152,368.94 = 30,485.40/x
  3. Step 3: Cross multiply
    101,562.90x = 152,368.94 × 30,485.40
  4. Step 4: Simplify right side
    101,562.90x = 4,645,028,083.48
  5. Step 5: Solve for x
    x = 4,645,028,083.48/101,562.90
  6. Step 6: Final answer
    x = 45,735.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.